2011 AMC 8 Problem 6

Attempt Problem 6 of the 2011 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2011 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

6.

In a town of 351351 adults, every adult owns a car, a motorcycle, or both. If 331331 adults own cars and 4545 adults own motorcycles, how many of the car owners do not own a motorcycle?
2020
2525
4545
306306
351351
Answer: D
Concepts:inclusion-exclusion
Small hint:
Subtract the motorcycle owners from the total adults.
Big hint:
The adults without motorcycles are exactly the car owners who do not own a motorcycle.
Solution:
We know that 4545 people own motorcycles, so 351−45=306351 - 45 = 306 people do not own motorcycles.
Thus, D is the correct answer.
LIVE by Po-Shen Loh
Programs

LIVE Classes

Self-Paced Classes

Stars

Scholarship

About Us

Who Is Po-Shen Loh?

Email Contact

Newsletter

Jobs

Become a Star

For a more Thought Full world.

© 2026 Expii, Inc.